The following table gives the millions of metric tons of carbon dioxide emissions in a certain country for selected years from 2010 and projected to 2032. Year 2010 2012 2014 2016 2018 2020 CO2 Emissions 339.5 361.5 399.1 425.8 452.1 495.4 Year 2022 2024 2026 2028 2030 2032 CO2 Emissions 556.2 595.9 629.7 665.1 703.1 743.7 (a) Create a linear function that models these data, with x as the number of years past 2010 and y as the millions of metric tons of carbon dioxide emissions. (Round all numerical values to two decimal places.) y(x) = (b) Find the model's estimate for the 2022 data point. (Round your answer to two decimal places.) million metric tons. (c) Find the slope of the linear model. (Round your answer to two decimal places.) Interpret the slope of the linear model. For each year since ---Select-- -Select--- , carbon dioxide emissions in the U.S. are expected to change by million metric tons.

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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The following table gives the millions of metric tons of carbon dioxide emissions in a certain country for selected years from 2010 and projected to 2032.
2010 2012 2014 2016 2018 2020
339.5 361.5 399.1 425.8 452.1 495.4
Year
CO2 Emissions
Year
2022 2024 2026 2028 2030
2032
CO2 Emissions 556.2 595.9 629.7 665.1 703.1 743.7
(a) Create a linear function that models these data, with x as the number of years past 2010 and y as the millions of metric tons of carbon dioxide emissions. (Round all numerical values to two decimal places.)
y(x) =
(b) Find the model's estimate for the 2022 data point. (Round your answer to two decimal places.)
million metric tons
(c) Find the slope of the linear model. (Round your answer to two decimal places.)
Interpret the slope of the linear model.
For each year since ---Select--- , carbon dioxide emissions in the U.S. are expected to change by
million metric tons.
Transcribed Image Text:The following table gives the millions of metric tons of carbon dioxide emissions in a certain country for selected years from 2010 and projected to 2032. 2010 2012 2014 2016 2018 2020 339.5 361.5 399.1 425.8 452.1 495.4 Year CO2 Emissions Year 2022 2024 2026 2028 2030 2032 CO2 Emissions 556.2 595.9 629.7 665.1 703.1 743.7 (a) Create a linear function that models these data, with x as the number of years past 2010 and y as the millions of metric tons of carbon dioxide emissions. (Round all numerical values to two decimal places.) y(x) = (b) Find the model's estimate for the 2022 data point. (Round your answer to two decimal places.) million metric tons (c) Find the slope of the linear model. (Round your answer to two decimal places.) Interpret the slope of the linear model. For each year since ---Select--- , carbon dioxide emissions in the U.S. are expected to change by million metric tons.
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